15th ATCM in Kuala Lumpur , Dec17-21, 2010

Preface
This is a presentation I did in ATCM2010 at Kuala Lumpur. The presentation itself was  20 minutes and 5 minutes for question&answer. Since it was the first oppotunity for me to do a presentation in English in an international conference, i got so nervous. But I am happy now that I could manage it somehow. It was a good and precious experience. The topic of my presentation was 'how to teach Taylor series to high school/university students in a more interactive way?' My idea is with the help of computers, you can really magnify graphs and compare nth-remainderR_n(x) and (x-a)ⁿ, by doing so , you can  get a taylor series with your eyes and no calculations! Furthurmore this  leads to one of many proves of taylor series very naturally.

Files Description

(1)Taylor.ppt

main file. You need Microsoft PowePoint. There are links to (2),(3)and(4) in the file.
When you follow the links,however, please use the 'back'button of your brouser . If you close, you will lose taylor.ppt  too.

(2)sinx.ggb, log(1+x).ggb, cosx.ggb, mean-value.ggb

Geogebra animation embedded in html. You need Java environment(JDK/JRE) to open these.

(3)taylor.mn (zipped. unzipped and easy to access substitution is talor.html, but it is static.)

MuPAD file. You need MuPAD ver4 or above. Or MatLab Symbolic Tool.

(4)cosX.wmv, expX.wmv

I captured parts of my presentation which was done by MuPAD.

(5)Appendix.zip

Geogebra source files and some of my teaching resorces concerning Taylor series.

(6)miscellaneous.zip

interesting programs written by MuPAD (no relation with this presentation)

Files are written by Geogebra&MuPAD except Taylor.ppt. You don't need to install Geogebra to see *.ggb embedded in html. You need only Java environment. To manupulate/see taylor.mn, however, you need MuPAD(Matlab symbolic tools). Unfortunately, MuPAD is not free and not sold independently. Which means you have to buy MatLab and Symbolic tools together, and it will be quite expensive.  Thus probably, only a few people can really open *.mn , unfortunately that makes the main part of my presentation. (You can still watch graphs and programs in *.html files, but they are static.)

Therefore, I captured parts of my presentations which I did with MuPAD. Please check *.wmv files.

One more thing, when you look *ggb files, please use 'animation' . It is more impressive and fun.

Copy rights
I wrote all of these files myself and I keep my copy rights. Still, you can use my files in a class room,or you can modify my files but you are not allowed to post my files (or modified files) in public without my consent.

PostScript
This index file was written on 4/14/2010, one month and 3 days after the devastating tsunami. We still have lots of quakes in Japan. And I can feel that even in Tokyo. When I first heard about a hindi god Shiva in my younger days, I couldn't understand why the man who destorys everything can be a god- specially important god. But creation needs destroy. Indians didn't suffer tsunami so they had to invent shiva, we didn't have to invent him. It is here and might stay for the time being. But I am afraid our shiva is NOT doing his most important job - rebooting. (freeling people's mindset) We had that spirit after the WW2. I heard that 50 years ago teachers can go back home when they finish teaching. Sometimes at 2 p.m! (How envious! Unbelievably, teachers drunk sake with high school students on special occations.) There is another example, when I was a primary school student,quite some years ago, sometimes lessons(mostly soccer)were extended if we were really into that. There was a sence of freedom in the air.  Unfortunately I can't feel that spirit yet. Instead, there is a rather oppressive atmosphere that you have to share this ordeal with evacuees.(Of course you are not FORCED to do this.) Which is sad and there is nothing I can do to counter this emotion in public. I am powerless. All I can do is to keep doing what I have done for many years-which is teaching math, studing math& programing. Now that we got our shiva, so when so-much-awaited rebooting come? Or do we need a bigger one? I hope we don't need that!!

Ogose(surname) shigeki, Tokyo, Japan, all rights reserved.